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Download MATLAB SIMULATIONS OF SERIES RESONANT CIRCUIT 564: POWER ELECTRONICS III
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Created by: Minh Anh Nguyen Page 1 12/6/2008 MATLAB SIMULATIONS OF SERIES RESONANT CIRCUIT 564: POWER ELECTRONICS III COLORADO STATE UNIVERSITY By Electrical and Computer Engineering student Minh Anh Thi Nguyen Page 1 of 27 Created by: Minh Anh Nguyen Page 2 12/6/2008 PURPOSE: The purpose of this lab is to simulate the LCC circuit using MATLAB to better familiarize the student with some of its operating characteristics. This lab will explore some of the following aspects of the buck converter: Input impedance Output impedance Magnitude and phase margin Zero frequency Output power Output current Plot the natural response for the output voltage Zero poles Phase of transfer function Stable circuit Unstable circuit Input impedance for varying loads resistance (R) Under damped Over damped Critical damp NOTE: The simulations that follow are intended to be completed with MATLAB . It is assumed that the student has a fundamental understanding of the operation of MATLAB . MATLAB provides tutorials for users that are not experienced with its functions. In this lab you will learn how to write a function to varying, calculating and plotting the input impedance, current and output voltage of the series RLC resonant tank circuit. You can define your own function in MATLAB. A function must start with a line. Page 2 of 27 Created by: Minh Anh Nguyen Page 3 12/6/2008 Function return-value = function-name (arguments) So that MATLAB will recognize it as a function. Each function must have its own file and the file must have the same as the function. PROCEDURE: Part 1: Write a function to calculate the total input impedance of series RLC resonant circuit as shown in Figure 1. Vm is a variable voltage. Set to 1 volts L is a variable inductor. Set to 1000 H. R is a variable ideal resistor. Set to 200 . C is a variable ideal capacitor. Set to 40pF. Page 3 of 27 Created by: Minh Anh Nguyen Page 4 12/6/2008 Figure 1: The input impedance of series RLC tank circuit. Once the above m file is captured, the simulations can be run. First, go to your directory. Find your m file and then run your file. If there is a red message on Page 4 of 27 Created by: Minh Anh Nguyen Page 5 12/6/2008 your MATLAB window, then you need to correct your error. Otherwise, you will see the solution as show in figure 2. Page 5 of 27 Created by: Minh Anh Nguyen Page 6 12/6/2008 Figure2: The output of input impedance of series RLC tank circuit. Next, plot the total input of the series resonant RLC tank circuit. Write another function to calculate the total input current of series RLC tank circuit as shown in Figure 3. All the initial variables and values are remain the same. Vm is a variable voltage. Set to 1 volts L is a variable inductor. Set to 1000 H. R is a variable ideal resistor. Set to 200 . C is a variable ideal capacitor. Set to 40pF Page 6 of 27 Created by: Minh Anh Nguyen Page 7 12/6/2008 Figure 3: the function to calculate the total input current of series RLC tank circuit Once the above function file is captured, the simulations can be run. First, go to your directory. Find your function file and then run your file. If there is a red message on your MATLAB window, then you need to correct your error. Otherwise, you will see the solution as show in figure 4. Page 7 of 27 Created by: Minh Anh Nguyen Page 8 Page 8 of 27 12/6/2008 Created by: Minh Anh Nguyen Page 9 12/6/2008 Figure 4: the output and plot of the total input current of series RLC tank circuit Now write a function to varying R of the input impedance of series RLC resonant circuit. By adding an array of Resistors (R) value. Again all the initial variables and values are remain the same. Vm is a variable voltage. Set to 1 volts L is a variable inductor. Set to 1000 H. R is a variable ideal resistor. Set to 200 . Page 9 of 27 Created by: Minh Anh Nguyen Page 10 12/6/2008 C is a variable ideal capacitor. Set to 40pF Write a loop function to do the varying resistors value, calculate and plot the output of total input impedance of series RLC resonant circuit. When the function to varying R of the input impedance of series RLC resonant circuit function file is captured, the simulations can be run. If there is any error message on your MATLAB windows, then correct your error and then rerun the simulation. Otherwise, you will see the result as show below Page 10 of 27 Created by: Minh Anh Nguyen Page 11 12/6/2008 Figure 5: A function of the input impedance of series RLC resonant circuit with varying Resistor Page 11 of 27 Created by: Minh Anh Nguyen Page 12 12/6/2008 Figure 6: Output of the input impedance of series RLC resonant circuit with varying Resistor Now write a function to varying R of the input current of series RLC resonant circuit. By adding an array of Resistors (R) value. Again all the initial variables and values are remain the same. Vm is a variable voltage. Set to 1 volts L is a variable inductor. Set to 1000 H. R is a variable ideal resistor. Set to 200 . C is a variable ideal capacitor. Set to 40pF Write a loop function to do the varying resistors value, calculate and plot the output of total input current of series RLC resonant circuit. When the function to varying R of the input current of series RLC resonant circuit function file is captured, the simulations can be run. If there is any error message on your MATLAB windows, then correct your error and then rerun the simulation. Otherwise, you will see the result as show below Page 12 of 27 Created by: Minh Anh Nguyen Page 13 12/6/2008 Figure 7: A function of the input current of series RLC resonant circuit with varying Resistor Page 13 of 27 Created by: Minh Anh Nguyen Page 14 Page 14 of 27 12/6/2008 Created by: Minh Anh Nguyen Page 15 12/6/2008 Figure 8: Output of the input current of series RLC resonant circuit with varying Resistor Page 15 of 27 Created by: Minh Anh Nguyen Page 16 12/6/2008 Now write a function to varying R of the output voltage of series RLC resonant circuit. By adding an array of Resistors (R) value. Again all the initial variables and values are remain the same. Vm is a variable voltage. Set to 1 volts L is a variable inductor. Set to 1000 H. R is a variable ideal resistor. Set to 200 . C is a variable ideal capacitor. Set to 40pF Write a loop function to do the varying resistors value, calculate and plot the output voltage of series RLC resonant circuit. When the function to varying R of the input current of series RLC resonant circuit function file is captured, the simulations can be run. If there is any error message on your MATLAB windows, then correct your error and then rerun the simulation. Otherwise, you will see the result as show below Page 16 of 27 Created by: Minh Anh Nguyen Page 17 12/6/2008 Figure 9: A function of the output voltage of series RLC resonant circuit with varying Resistor Page 17 of 27 Created by: Minh Anh Nguyen Page 18 12/6/2008 Figure 10: This figure is shown the output voltage of series RLC resonant circuit with varying Resistor Page 18 of 27 Created by: Minh Anh Nguyen Page 19 12/6/2008 For Homework: You need to re-solve the parallel resonant circuit with Capacitor ESR and see its effects on the magnitude and phase plots in some detail. For example choose the ratio of the C ESR to the load resistance to be in the ratio range from 0.01 to 1. Now write m file to varying R of the natural response of current in series RLC resonant circuit. By adding an array of Resistors (R) value. Again all the initial variables are remain the same but change their values. Vm is a variable voltage. Set to 0 volts L is a variable inductor. Set to 5mH. R is a variable ideal resistor. Set to 8 . C is a variable ideal capacitor. Set to 200 F Io is a variable ideal of inductor current. Set to 2 amps. Vo is a variable ideal of capacitor voltage. Set to -5 volts. Write a loop function to do the varying resistors value, calculate and plot the natural response of current for series RLC resonant circuit. When the function to varying R of the natural response of current in series RLC resonant circuit file is captured, the simulations can be run. If there is any error message on your MATLAB windows, then correct your error and then rerun the simulation. Otherwise, you will see the result as show below Page 19 of 27 Created by: Minh Anh Nguyen Page 20 Page 20 of 27 12/6/2008 Created by: Minh Anh Nguyen Page 21 12/6/2008 Figure 11: the m file to calculate and plot the natural response of current in series RLC resonant circuit with varying Resistor Page 21 of 27 Created by: Minh Anh Nguyen Page 22 12/6/2008 Figure 12: This figure is shown the output of the natural responses of current in series RLC resonant circuit with varying Resistor Now write m file to varying R of the natural response of capacitor voltage in a series RLC resonant circuit. By adding an array of Resistors (R) value. Again all the initial variables are remain the same but change their values. Vm is a variable voltage. Set to 0 volts L is a variable inductor. Set to 5mH. R is a variable ideal resistor. Set to 8 . C is a variable ideal capacitor. Set to 200 F Page 22 of 27 Created by: Minh Anh Nguyen Page 23 12/6/2008 Io is a variable ideal of inductor current. Set to 2 amps. Vo is a variable ideal of capacitor voltage. Set to -5 volts. Write a loop function to do the varying resistors value, calculate and plot the natural response of capacitor voltage in a series RLC resonant circuit. When the function to varying R of the natural response of series RLC resonant circuit file is captured, the simulations can be run. If there is any error message on your MATLAB windows, then correct your error and then rerun the simulation. Otherwise, you will see the result as show below Page 23 of 27 Created by: Minh Anh Nguyen Page 24 Page 24 of 27 12/6/2008 Created by: Minh Anh Nguyen Page 25 12/6/2008 Figure 13: the m file to calculate and plot the natural response of current in a series RLC resonant circuit with varying Resistor Page 25 of 27 Created by: Minh Anh Nguyen Page 26 Page 26 of 27 12/6/2008 Created by: Minh Anh Nguyen Page 27 12/6/2008 Figure 14: the output of the natural response of capacitor voltage in a series RLC resonant circuit with varying Resistor Page 27 of 27